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Pole assignment in a specified disk. (English) Zbl 0627.93029
An algorithm to assign all poles of the closed-loop system in the disk D with the center on the real axis of the complex plane and arbitrary radius for both continuous and discrete systems is studied. A state feedback control law is also determined using a discrete Riccati equation. This kind of pole assignment problem is named D-pole assignment. The advantages of the D-pole assignment are presented using some simple proofs of theorems and lemmas. The gain margin of the discrete optimal control is given by a proof different from that already given by M. G. Safonov [Stability and robustness of multivariable feedback systems, The MIT Press, XI (1980; Zbl 0552.93002)]. To illustrate D-pole assignment an example is given. In this example the proposed algorithm gives D-pole assignment and the pole locations within the specified disk D, depending on the matrices Q, R of the Riccati equation.
The paper is well organized and written and can be considered to be of very good quality in its topic area.
Reviewer: A.Machias

93B55 Pole and zero placement problems
15A24 Matrix equations and identities
93C05 Linear systems in control theory
93C55 Discrete-time control/observation systems
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